Questions: What are the coordinates of W? Isosceles Trapezoid

What are the coordinates of W? Isosceles Trapezoid
Transcript text: What are the coordinates of W? Isosceles Trapezoid
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Solution

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Solution Steps

Step 1: Analyze the given information

The trapezoid is described as isosceles, meaning the two non-parallel sides are equal in length. We are given the coordinates of the vertices at the base of the trapezoid: (-a, 0) and (a, 0). We are also given the coordinates of one of the vertices of the top base: (b, c). We need to find the coordinates of the other top vertex, W.

Step 2: Determine the x-coordinate of W

Since the trapezoid is isosceles, point W must be vertically above the point (-a, 0). Therefore, the x-coordinate of W is -a.

Step 3: Determine the y-coordinate of W

The top base is horizontal, meaning W and the given point (b, c) have the same y-coordinate. Therefore, the y-coordinate of W is c.

Final Answer: The coordinates of W are (-a, c).

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